Answer:
[tex] \bar X = \frac{0.4+0.2+0.4+0.6}{4}= 0.4[/tex]
Now we can calculate the absolute deviations from the mean for each value:
|0.4-0.4|=0
|0.2-0.4|=0.2
|0.4-0.4|=0
|0.6-0.4|=0.2
And adding these 4 values and dividing by 4we got the MAD on this case:
[tex]MAD = \frac{0+ 0.2+0 +0.2}{4}=0.1[/tex]
Step-by-step explanation:
We have the following dataset given:
0.4,0.2,0.4,0.6
In order to calculate the MAD we need to calculate the sample mean first with this formula:
[tex]\bar X = \frac{\sum_{i=1}^n X_i}{n}[/tex]
Replacing we got:
[tex] \bar X = \frac{0.4+0.2+0.4+0.6}{4}= 0.4[/tex]
Now we can calculate the absolute deviations from the mean for each value:
|0.4-0.4|=0
|0.2-0.4|=0.2
|0.4-0.4|=0
|0.6-0.4|=0.2
And adding these 4 values and dividing by 4we got the MAD on this case:
[tex]MAD = \frac{0+ 0.2+0 +0.2}{4}=0.1[/tex]
